solving second order linear differential equations with variable coefficients

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... neutral nonlinear differential equations with delay. Nonlinear Anal. 74(12):3926–3933 (2011). doi:10.1016/j.na.2011.02.029 17. Raffoul, YN: Stability in neutral nonlinear differential equations with ... neutral differential equations with variable delays. Proc Am Math Soc. 136, 909–918 (2008) 19. Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable ... stochastic differential equations with multi- ple delays. Pinto and Seplveda [16] talk about H-asymptotic stability by the fixed point method in neutral nonlinear differential equations with delay....

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... investigates the existence of a positive solution for a class of nonlinear boundary value problems of second- order differential equations with integral boundary conditions in abstract spaces. The arguments ... for second order impulsive differential equations. J Math Anal Appl. 331(1), 159–176 (2007). doi:10.1016/j.jmaa.2006.07.106 6. Zhang, G, Sun, J: Multiple positive solutions of singular second- order ... theorem [10] i n cone to the second- order differential equations.  x  (t )+f (t, x(t)) = θ ,0< t < 1, x(0) =  1 0 g(t)x(t)dt, x(1) = θ . Let E be a real Banach space with norm || · || and...

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... solutions to second order linear difference equations in the first case. For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... we consider a nonlinear first -order difference equation. 2 Advances in Difference Equations Unlike t he method used by Olver 4 to treat asymptotic solutions of second- order linear differential equations, ... second- order linear difference equations, ” Journal of Computational and Applied Mathematics, vol. 41, no. 1-2, pp. 65–94, 1992. 3 R. Wong and H. Li, “Asymptotic expansions for second- order linear...

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... for second order impulsive differential equations with advanced arguments,” Applied Mathematics and Computation, vol. 197, no. 1, pp. 179–189, 2008. 17 T. Jankowski, “Positive solutions to second ... boundary value problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 22 C. Corduneanu, Integral Equations and Applications, ... pages doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth -Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School...

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... Difference Equations Volume 2009, Article ID 143175, 14 pages doi:10.1155/2009/143175 Research Article On the Spectrum of Almost Periodic Solution of Second- Order Neutral Delay Differential Equations with ... 14 Advances in Difference Equations 12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, ... difference equations with piecewise constant arguments,” Acta Mathematica Sinica, vol. 18, no. 2, pp. 263–276, 2002. 6 H X. Li, “Almost periodic solutions of second- order neutral delay-differential equations...

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... general solutions to systems of linear differential equations or higher order linear differential equations. Over the past decade or two, first -order differential equations have become a standard ... solutions to linear differential equations and systems of equations exemplify important ideas in linear algebra, and how linear algebra often answers key questions regarding differential equations. ã ... anticipation of the structural role that vector spaces play in solving linear systems of differential equations and higher order linear differential equations. Instructors may choose to move on from chapter...

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... (greatest) solution. This seems to be a peculiar feature of equa- tions with deviated arguments, see [1] for an example with a second- order equation. Therefore, we are obliged to distinguish between ... solutions. First -order differential equations with state-dependent deviated argu- ments have received a lot of attention in the last years. We can cite the recent articles [2–7] which deal with existence ... solutions for delay differential equations with state dependent delay. J. Diff. Equ. 144(2), 263– 301 (1998) 3. Dyki, A: Boundary value problems for differential equations with deviated arguments which...

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... problem for second order differential equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023. 42. Jankowski T: Positive solutions for fourth -order differential equations with deviating ... On some nonlinear ordinary differential equations with advanced arguments. Nonlinear Anal 2003, 53:495-505. 40. Yan JR: Oscillation of first -order impulsive differential equations with advanced ... for non -linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804. 34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses...

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... problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol. 7, no. 1, pp. 133–154, 2000. 9 Z. Yang, “Positive solutions to a system of second- order nonlocal ... pages doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth -Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang 1, 2 and Yujun Cui 3 1 Department ... consider the existence of positive solutions for the following nonlinear fourth -order singular p-Laplacian differential equations with integral boundary conditions:  ϕ p  x   t     f  t,...

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